# WFM02/01 June 2016

> WFM02/01 June 2016: 9 questions, 75 marks. Difficulty 0.49, deviation 0.17, algebraic 0.48, text density 0.20. Edexcel IAL Mathematics FP2.

- Canonical HTML: https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2016-june-wfm02-01/
- Markdown mirror: https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2016-june-wfm02-01/index.md

---

Edexcel IAL · Mathematics · 2016 June

This Further Pure Mathematics 2 (WFM02) paper contains 9 questions worth 75 marks. The profile below reports five mark-weighted difficulty and complexity measures, and every question row repeats them. Full question text and mark scheme open in the Interactive Practice Hub.

- Edexcel IAL
- FP2
- 9 questions
- 75 marks
- Free paper
- [Practise this paper](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0)
- [All FP2 papers](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/)

Core finding

**WFM02/01 June 2016 is a past paper for Edexcel IAL Further Pure Mathematics 2 (WFM02), with 9 questions worth 75 marks.** Its mark-weighted Difficulty Measure is 0.49 on a 0.20–0.75 scale, with a Difficulty Deviation of 0.17 and a mark split of 12.0% Easy, 54.7% Medium and 33.3% Hard. Algebraic complexity averages 0.48; text density and modelling average 0.20. All five measures use 16 part-level tags, not candidate results. Every question row below repeats them and opens the Interactive Practice Hub for that question.

## Difficulty & complexity profile

All five measures are mark-weighted and calculated from 16 parts carrying 75 part marks. Difficulty tags cover 16 parts, algebraic tags 16 and text-density tags 16. Tags are internal metadata, not official exam-board ratings.

- **Difficulty Measure**: 0.49 — 0.20–0.75 · nearer Medium
- **Difficulty Deviation**: 0.17 — 0 = uniform; higher = more mixed
- **Difficulty Ratio**: 12.0 / 54.7 / 33.3 — % Easy / Medium / Hard
- **Algebraic Complexity Measure**: 0.48 — 0.20–0.75 · nearer Medium
- **Text Density and Modelling Measure**: 0.20 — 0.20–0.75 · nearer Low

Scale: Easy 0.20 · Medium 0.45 · Hard 0.75, and Low 0.20 · Medium 0.45 · High 0.75 for the two complexity measures. [How each band is defined and how the values are calculated →](https://www.examsci.com/guides/difficulty-and-complexity-measures/)

### Definitions and calculation

| Measure | Paper value | Formula |
| --- | --- | --- |
| **Difficulty Measure** | 0.49 | Σ(d_i × w_i) / Σw_i, with d = 0.20 / 0.45 / 0.75 |
| **Difficulty Deviation** | 0.17 | √(Σw_i(d_i − μ)^2 / Σw_i) |
| **Difficulty Ratio** | 12.0% Easy / 54.7% Medium / 33.3% Hard | marks in band / all tagged marks |
| **Algebraic Complexity Measure** | 0.48 | Σ(c_i × marks_i) / Σmarks_i, with c = 0.20 / 0.45 / 0.75 |
| **Text Density and Modelling Measure** | 0.20 | Σ(t_i × marks_i) / Σmarks_i, with t = 0.20 / 0.45 / 0.75 |

w_i equals the part marks, except for a Hard part worth 4 or more marks, where w_i = marks^0.75 to offset the accessible starter steps inside long structured questions.

## Question list

Each measure is recalculated from the parts of that question and uses the same weights as the paper profile.

| Question | Topic | Marks | Difficulty Measure | Algebraic Complexity Measure | Text Density and Modelling Measure | Practice |
| --- | --- | --- | --- | --- | --- | --- |
| **Q1** FRQ | [2. Series](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/series/) | 6 | 0.41 Medium | 0.33 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=f6c61672-000e-41c8-8b38-eb3a2684fccc&source_detail=WFM02%2F01+June+2016) |
| **Q2** FRQ | [1. Inequalities](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/inequalities/) | 6 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=81f586a0-ce31-4160-8d0a-23b713d9a644&source_detail=WFM02%2F01+June+2016) |
| **Q3** FRQ | [4. First order differential equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/) | 6 | 0.75 Hard | 0.75 High | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=20610412-3590-48c4-935d-f063c1dd28f1&source_detail=WFM02%2F01+June+2016) |
| **Q4** FRQ | [6. Maclaurin and Taylor series](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/maclaurin-and-taylor-series/) | 8 | 0.45 Medium | 0.39 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=2818a975-16e5-476f-b040-f19e11cce398&source_detail=WFM02%2F01+June+2016) |
| **Q5** FRQ | [3. Further complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/) | 7 | 0.75 Hard | 0.75 High | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=f6643493-8930-4f60-834f-e81a37d87f3d&source_detail=WFM02%2F01+June+2016) |
| **Q6** FRQ | [5. Second order differential equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/) | 14 | 0.36 Medium | 0.36 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=0e39caca-6f87-4fdd-9f90-c0f74d56c711&source_detail=WFM02%2F01+June+2016) |
| **Q7** FRQ | [7. Polar coordinates](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/polar-coordinates/) | 11 | 0.54 Medium | 0.60 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=0eb089c5-0355-4e3c-9128-1d259ac68f00&source_detail=WFM02%2F01+June+2016) |
| **Q8** FRQ | [3. Further complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/) | 10 | 0.45 Medium | 0.45 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=0d36a2b5-7e6a-4fb9-9ab7-01bb70a3b488&source_detail=WFM02%2F01+June+2016) |
| **Q9** FRQ | [3. Further complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/) | 7 | 0.60 Medium | 0.34 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=79ab4680-52ad-4acb-a7fd-5a08186996a0&source_detail=WFM02%2F01+June+2016) |

## Topics in this paper

- [2. Series](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/series/)
- [1. Inequalities](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/inequalities/)
- [4. First order differential equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/first-order-differential-equations/)
- [6. Maclaurin and Taylor series](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/maclaurin-and-taylor-series/)
- [3. Further complex numbers](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/)
- [5. Second order differential equations](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/second-order-differential-equations/)
- [7. Polar coordinates](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/polar-coordinates/)

## Related papers

- [WFM02/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2017-june-wfm02-01/) — June 2017 — 8 questions · 75 marks — Free
- [WFM02/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2015-june-wfm02-01/) — June 2015 — 8 questions · 75 marks — Free
- [WFM02/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2018-june-wfm02-01/) — June 2018 — 8 questions · 75 marks — Free
- [WFM02/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2014-june-wfm02-01/) — June 2014 — 9 questions · 75 marks — Free
- [WFM02/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2019-june-wfm02-01/) — June 2019 — 8 questions · 75 marks — Free
- [WFM02/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2020-october-wfm02-01/) — October 2020 — 8 questions · 75 marks — Free

## Paper FAQ

**How are the difficulty and complexity measures calculated?**

Each part is weighted by its official marks. Difficulty uses Easy 0.20, Medium 0.45 and Hard 0.75; algebraic complexity and text density and modelling use Low 0.20, Medium 0.45 and High 0.75. A Hard part worth 4 or more marks is down-weighted to marks^0.75, so the accessible starter steps inside a long structured question do not inflate the difficulty result. This paper's Difficulty Measure is 0.49 from 16 parts.

**What does the Difficulty Deviation show?**

It is the mark-weighted standard deviation of the part difficulty values around the paper mean. A value of 0 would mean every tagged part has the same difficulty; this paper's deviation is 0.17, so its parts are more mixed than a single-level paper.

**Is the Difficulty Ratio based on question counts or marks?**

It is based on official marks, not question counts. This paper's shares are 12.0% Easy, 54.7% Medium and 33.3% Hard; the three shares sum to 100% before rounding.

**Are these official difficulty ratings?**

No. They are derived from the platform's part-level difficulty and static-question-profile tags. They are not exam-board grade boundaries and are not calculated from candidate outcomes. Use them to compare the demand profile of papers, not to predict a grade.

**Why does each question row show its own measures?**

Each row recalculates the same mark-weighted formula from that question's parts. A single-part MCQ therefore shows the tag value directly, while a multi-part structured question blends the tags of its parts using the same Hard-part decay as the paper profile.

---

Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2016-june-wfm02-01/